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Z = (82 - 76.1) / 6.5
Z = 0.90769
Friend's Score} Z = (X - μ) / σ
Z = (75 - 40) / 4.2
Z = 8.33333
Dear 'Confused history buff',
The first thing I have to say is, I hope you have an adequate amount of spending money because you'll have to buy your friend dinner! The type of standard scores used in a normal distribution curve determines the amount of standard deviations from the mean of a raw score, which would be your test percentage score. They are also called z-scores, and go in this particular formula in case you need it: Z = (X - μ) / σ. In simple terms,
z-score = (raw score - population mean) / standard deviation
So, plugging in the information- it would look like this:
You: Z = (82 - 76.1) / 6.5
Pam: Z = (75 - 40) / 4.2
And solving the problem would be a simple process then:
You: Z = (5.9) / 6.5
Pam: Z = (35) / 4.2
Final Answer:
You:
Pam:
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